352296000 has 448 divisors, whose sum is σ = 1483522560. Its totient is φ = 80179200.

The previous prime is 352295987. The next prime is 352296001. The reversal of 352296000 is 692253.

352296000 is a `hidden beast` number, since 3 + 52 + 2 + 9 + 600 + 0 = 666.

352296000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×352296000² = 248224943232000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352296001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511884 + ... + 1512116.

Almost surely, 2^352296000 is an apocalyptic number.

352296000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741761280).

352296000 is an abundant number, since it is smaller than the sum of its proper divisors (1131226560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

352296000 is a wasteful number, since it uses less digits than its factorization.

352296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 352296000 is about 18769.5498081334. The cubic root of 352296000 is about 706.2675250827.

The spelling of 352296000 in words is "three hundred fifty-two million, two hundred ninety-six thousand".